SU\G(𝔸)/K·U

<i>W</i><sup>2, <i>p</i></sup> estimates of the heat equation in Ω⊂ℝ<sup><i>n</i></sup> and the restrictions on ∂Ω

Gavin Waters, Lihe Wang

Type: Article

Publication Date: 2005-09-02

Citations: 1

DOI: https://doi.org/10.1002/mma.668

Abstract

Abstract This is an alternative approach of finding the W 2, p estimates of the heat equation in a domain, Ω⊂ℝ n . Methods used in ( Acta Math. Sin. 2003; 19 (2):381–396) are expanded to the case of a bounded domain. As a result, milder restrictions are applied to ∂Ω than previously required by using the classical singular integral approach. Copyright © 2005 John Wiley &amp; Sons, Ltd.

Locations

  • Mathematical Methods in the Applied Sciences - View - PDF

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+ On weighted W<sup>2,p</sup> estimates for elliptic equations with BMO coefficients in nondivergence form 2015 Sun‐Sig Byun
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Works Cited by This (7)

Action Title Year Authors
+ Partial Differential Equations 2010 Lawrence Evans
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
+ PDF Chat On the existence of certain singular integrals 1952 A. P. Calderón
A. Zygmund
+ Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I 1959 Shmuel Agmon
Avron Douglis
Louis Nirenberg
+ A Geometric Approach to the Calderón-Zygmund Estimates 2003 Li He Wang
+ Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II 1964 Shmuel Agmon
Avron Douglis
Louis Nirenberg
+ Yang-Baxter equations, conformal invariance and integrability in statistical mechanics and field theory : proceedings of a conference : Centre for Mathematical Analysis, Australian National University, Canberra, Australia, July 10-14, 1989 1990 Michael N. Barber
Paul A. Pearce